$\color{#FF6800}{ a } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) + 2 a \left ( a + 3 \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ a } + 2 a \left ( a + 3 \right )$
$4 a ^ { 2 } - 5 a + \color{#FF6800}{ 2 } \color{#FF6800}{ a } \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
$ $ Organize the expression with the distributive law $ $
$4 a ^ { 2 } - 5 a + \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } + \color{#FF6800}{ 6 } \color{#FF6800}{ a }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ a }$
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } + \left ( - 5 + 6 \right ) a$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } + \left ( - 5 + 6 \right ) a$
$6 a ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ a }$
$ $ Organize the mononomial expression $ $
$6 a ^ { 2 } + \color{#FF6800}{ a }$